What is the Least Common Multiple of 77760 and 77774?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 77760 and 77774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77760 and 77774, than apply into the LCM equation.

GCF(77760,77774) = 2
LCM(77760,77774) = ( 77760 × 77774) / 2
LCM(77760,77774) = 6047706240 / 2
LCM(77760,77774) = 3023853120

Least Common Multiple (LCM) of 77760 and 77774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77760 and 77774. First we will calculate the prime factors of 77760 and 77774.

Prime Factorization of 77760

Prime Factorization of 77774

Now multiplying the highest exponent prime factors to calculate the LCM of 77760 and 77774.

LCM(77760,77774) = 2⁶ × 3⁵ × 5¹ × 37¹ × 1051¹
LCM(77760,77774) = 3023853120